240 citations
- Kennesaw State UniversityUS11 papers
- Griffith UniversityAU7 papers
- Australian National UniversityAU6 papers
- Lomonosov Moscow State UniversityRU6 papers
- Oles Honchar Dnipro National UniversityUA6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- University of Central FloridaUS5 papers
- University of TsukubaJP5 papers
- U.S. National Science FoundationUS5 papers
- Center for Astrophysics Harvard & SmithsonianUS4 papers
- Max Planck Institute for AstronomyDE4 papers
- Max Planck Institute for Nuclear PhysicsDE4 papers
7 papers · 1 filter
Ostrowski-type inequalities in abstract distance spaces
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
For non-empty sets X we define notions of distance and pseudo metric with values in a partially ordered set that has a smallest element . If is a distance in (respecti…
On some sharp Landau--Kolmogorov--Nagy type inequalities in Sobolev spaces of multivariate functions
V. F. Babenko, V. V. Babenko, O. V. Kovalenko +1
For a function from the Sobolev space ( is an open convex cone), a sharp inequality that estimates via the -norm…
Nagy type inequalities in metric measure spaces and some applications
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko +1
We obtain a sharp Nagy type inequality in a metric space with measure that estimates the uniform norm of a function using its -- norm determined by a…
On Landau -- Kolmogorov type inequalities for charges and their applications
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko +1
In this article we prove sharp Landau--Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in , , that are ab…
Fixed sets and fixed points in $\Lim$--spaces]{Fixed sets and fixed points for mappings in generalized $\Lim$--spaces of Fréchet
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
In this article we discuss a possibility to implement a well-known scheme of proof for contraction mapping theorems in a situation, when convergence, families of Cauchy sequences,…
Fixed Point Theorems in M-distance Spaces
Vladyslav Babenko, Vira Babenko, Oleg Kovalenko
We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some f…